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To solve for \( x \) in the equation:

\[
w = \frac{1}{7} (x + y - z)
\]

we'll go through these steps:

### Step 1: Eliminate the Fraction
Multiply both sides by 7 to eliminate the fraction:
\[
7w = x + y - z
\]

### Step 2: Isolate \( x \)
Now, rearrange the equation to solve for \( x \):
\[
x = 7w - y + z
\]

### Final Answer
\[
x = 7w - y + z
\]

Would you like further details or have any questions?

Here are some related questions for practice:
1. How would you solve for \( y \) in the same equation?
2. What if the fraction were \(\frac{1}{5}\) instead of \(\frac{1}{7}\)?
3. How would you check your answer for \( x \)?
4. Can you rewrite the equation to solve for \( z \) instead?
5. How does isolating \( x \) change if the equation included \( x^2 \) instead?

**Tip:** When working with fractions, multiplying both sides by the denominator is a quick way to clear the fraction!

Solve for x in the equation w = (1/7)(x + y - z).

Learn how to solve for x in the linear equation w = (1/7)(x + y - z). This problem covers key algebraic concepts, including isolating variables and simplifying equations. Suitable for students in Grades 7-9.

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